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arXiv · 1709.05451

Nuclear mass parabola and its applications

Junlong Tian·Di Yuan·Yunyi Cui·Yun Huang·Ning Wang
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Abstract

We propose a method to extract the properties of the isobaric mass parabola based on the total double $\beta$ decay energies of isobaric nuclei. Two important parameters of the mass parabola, the location of the most $\beta$-stable nuclei $Z_{A}$ and the curvature parameter $b_{A}$, are obtained for 251 A values based on the total double $\beta$ decay energies of nuclei compiled in AME2016 database.The advantage of this approach is that we can remove the pairing energy term $P_{A}$ caused by odd-even variation, and the mass excess $M(A,Z_{A})$ of the most stable nuclide for mass number $A$ in the performance process, which are used in the mass parabolic fitting method. The Coulomb energy coefficient $a_{c}=0.6910$ MeV is determined by the mass difference relation of mirror nuclei, and the symmetry energy coefficient is also studied by the relation $a_{\rm sym}(A)=0.25b_{A}Z_{A}$.

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Junlong Tian, Di Yuan, Yunyi Cui, Yun Huang, Ning Wang. 2017-09-16. Nuclear mass parabola and its applications. https://arxiv.org/abs/1709.05451

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